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Finding the Fourth Proportional to 95.70, 143.26 and 65.17

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Solution

The fourth proportional to 95.70, 143.26 and 65.17 is: 97.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.70 : 143.26 = 65.17 : x
  2. Step 2: Convert to fraction form
    95.70/143.26 = 65.17/x
  3. Step 3: Cross multiply
    95.70x = 143.26 × 65.17
  4. Step 4: Simplify right side
    95.70x = 9,335.73
  5. Step 5: Solve for x
    x = 9,335.73/95.70
  6. Step 6: Final answer
    x = 97.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.